Rewrite with only sin x and cos x.
cos 2x + sin x
1 + 3 sin x
1 + 3 sin2x
1 - 2 sin2x + sin x
1 + 2 sin2x + sin x
Answer:
[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]
which agrees with the third option listed.
Step-by-step explanation:
I believe you meant to write the answer with only sin(x).
Use the double angle identity for the cos(2x) as shown below:
[tex]cos(2x) = cos^2(x)- sin^2(x)\\since \\cos^2(x) = 1-sin^2(x)\\then:\\cos(2x) = 1-sin^2(x)- sin^2(x)\\cos(2x)=1 - 2\,sin^2(x)[/tex]
Now we use this identity in the original expression to get:
[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]
which agrees with the third option listed.
A boy weighs x pounds. His younger sister weighs 53 pounds less than him. His father weighs four times as much as his sister. A simplified expression that represents the fathers weight (in pounds) is (blank -blank)
Answer:
4x-53
Step-by-step explanation:
Boy=x
sis = x-53
father = 4x-53
What is the first step to solve the following system of equations using substitution?
X-y=-1
2x-y=3
Answer: Add to both sides
Step-by-step explanation:
4. I
Write a linear function f with f (0) = 7 and f(3) = 1.
Answer:
f(x)=
Step-by-step explanation:
The side of a square is measured to be 10ft with a possible error of plus/minus 0.1ft. Use linear approximation or differentials to estimate the error in the calculated area. Include units in your answer.
Answer:
±2∧
Step-by-step explanation:
x=10ft dx=±0.1
area y=x²
dy=2xdx
when x=10
dy=2×10×(±0.1)=±2
error in area=±2
Help me and you will be so nice here in a picture
Answer:
Option 4 or the last one.
Step-by-step explanation:
$60 and free shipping, which costs $60. 15% off but $10 for shipping
which is $61. 1/10 discount but $5 which costs $59
so the cheapest is $49, for Store Z.
Hope this helps :D
#Team Rainbows~
what is the slope of the line if it is y=4x+12
*30 points*
Which expression is equivalent to 3(x+4)? O A. 3x + 4x O B. 3 + x + 4 O C. 3x+4 O D. 3x + 12
Answer:
D.
Step-by-step explanation:
Multiply what's inside the parentheses by 3 to get the answer. 3x+12
Answer:
D. 3x+12
Step-by-step explanation:
3(x+4)
3*x=3x
3*4=12
3x+12
En una tienda se anuncia la rebaja de 20% en todos sus artículos. Rafael elije una camisa y al llegar a la caja le informan que esa camisa, por traer etiqueta roja, cuenta con un descuento adicional del 15%. Si Rafael pago $510.00, ¿cual era él precio de la camisa sin los descuentos?
9514 1404 393
Answer:
$750
Step-by-step explanation:
The 20% discount multiplies the price by (1 - 20%) = 0.80.
The 15% discount multiplies the price by (1 - 15%) = 0.85.
After applying the discounts to the initial price P, we have ...
P(0.80)(0.85) = $510
P = $510/(0.80·0.85) = $750
The price before discounts was $750.
Parker grew
2 1/2 inches each year for the past 3 years. How many inches total has Parker grown in the past 3
years?
Answer:
it will be 7 and 1/2
Step-by-step explanation:
2 and 1/2 x 3=7 and 1/2
Yuki works at a garden store. She is stacking 40-pound bags of soil. Write an equation that gives the total weight, w, of the soil in pounds when yuki stacks b bags.
The answer is w=40b Answer:
Step-by-step explanation:
Answer:200
Step-by-step explanation:
w=40b
=40(5)
=200
Find the domain and range of the relation of 6,5, -13, 1, -4,2, -5, 23, -10, -5
Answer:
[tex]Range = \{5,1,2,23,-5\}[/tex]
[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]
Step-by-step explanation:
Given
[tex](6,5)\ (-13, 1)\ (-4,2)\ (-5, 23)\ (-10, -5)[/tex]
Required
Determine the domain and range
A relation has the following format:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)........(x_n,y_n)\}[/tex]
The range of the relation are:
[tex]\{y_1,y_2,y_3,y_4........y_n\}[/tex]
While the domain are:
[tex]\{x_1,x_2,x_3,x_4........x_n\}[/tex]
Using this analysis, the domain of the relation is:
[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]
and the Range is
[tex]Range = \{5,1,2,23,-5\}[/tex]
adding fractions with unlike denominators
Answer:
A
Step-by-step explanation:
How can I use a model to solve 1.4 divided by 4?
Answer: 0.35
Step-by-step explanation:
Roger has 3 boxes of chico dile snacks and 6 bottles of Dr. pepper. He says he has a ratio of boxes to dr. Pepper that is 6 to 3. How is he wrong
It has to do with ratios if that helps ♀️
Answer:
He is wrong
Step-by-step explanation:
In the beginning of the question it says,"Roger has 3 boxes of chico dile snacks and 6 bottles of Dr. pepper" and whatever comes first either its a ratio, fraction ect; the number in the question that comes first always comes first in anything.
Six packs of cola are on sale for 1.50. If a customer buys a 24 pack what is the total charge including8%
Answer:
The total would be $38.88
Step-by-step explanation:
First I did 1.50 • 24 = 36
Then I did 36 + 8% = 38.88
Hope this helps
Also can I get brainliest :)
PLZZZ HELP GIVING BRAINLIST Match each expression to its value.
1. 7 - 5
-2
2. -7 + 5
2
3. -7 - 5
12
4. 7 - (-5)
-12
Answer:
1. 0
2. 5
3. 0.416666667
4.0
What is the least common denominator of 7/12, 7/15, and 7/24?
Answer:
120
Step-by-step explanation:
- There are 75 cars at a dealership. 35 are blue or red. Suppose 16 are red and 3 are
both.
How many cars are just blue ?
How many cars are neither blue or red?
Answer:
56
Step-by-step explanation:
what number is 386 more than the sum of 345 and 425
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. *
answer: is 34
Step-by-step explanation:M=50 so $0.35-50
Deron recorded his heart rate as 204 beats in 3 minutes. What is the unit rate in beats per minute?
Answer: to solve this you can make a proportion.
264 x
---- = ----
3 1
to solve, cross multiply and divde
264 times 1 is 1. 264 divided by 3 is 88. the unit rate is 88 beats in one minute
Step-by-step explanation:
Deron's heart beat rate per minute is 64 beats/min.
What is a unitary method?
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Deron recorded his heart rate as 204 beats in 3 minutes.
∴ How many times his heart beats in one minute or the unit rate in beats per minute can be obtained if we divide the total no. of beats by total no. of minutes which is,
= (204/3) beats per minute.
= 68 beats per minute.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
what is the relationship between any place value position
and the next greater place value position.
Step-by-step explanation:
Possible description: As I move from a lesser place-value position to the next greater place-value position, the pattern is that the greater place-value position is 10 times as much as the next lesser place-value position.
b) Fact: 23-14
Strategy: "Compensation"
the amount of sod needed to cover the circular green on a golf course?
Answer:
you would need just over 261 pounds of seed for 1 acre.
Step-by-step explanation: For example, if the recommended seeding rate for a specific blend of grasses is 6 pounds per 1,000 square feet, multiply 6 by 43.56 to get 261.36. Thus you would need just over 261 pounds of seed for 1 acre.
how many solutions are in -2x+3 = -2x+3
Answer:
Infinite Solutions
Step-by-step explanation:
If the two equations are the same (as they are here), the amount of solutions would be infinite. I hope this helps!
Can some please help me! No one has helped me out yet, please do this is you can
Answer:
Please check the explanation below.
Step-by-step explanation:
We know that a binary relation between two sets is termed as a function which associates every element of the first set to exactly one element of the second set.In other words, in order for relation to be a function, we must make sure there must be no repetition of 'x' coordinate values, as it would violate the fundamental definition of a function.
A) (2, 5), (5, 7), (7, 9)
Here, the x-coordinates are: 2, 5, and 7
At x = 2, y = 5
At x = 5, y = 7
At x = 7, y = 9
As there is no repetition of x-coordinates.Thus, the coordinate pairs (2, 5), (5, 7), (7, 9) represent the function.
B) (2, 3), (1, 4), (2, 8),(0, 1)
Here, the x-coordinates are: 2, 1, 2 and 0
At x = 2, y = 3
At x = 1, y = 4
At x = 2, y = 8
At x = 0, y = 1
Please observe that the x-coordinate values i.e. x=2 are repeated.
Thus, the coordinate pairs (2, 3), (1, 4), (2, 8),(0, 1) does not represent the function.
C) (4, 8), (5, 8), (6, 8)
Here, the x-coordinates are: 4,5 and 6
At x = 4, y = 8
At x = 5, y = 8
At x = 6, y = 8
As there is no repetition of x-coordinates.Thus, the coordinate pairs (4, 8), (5, 8), (6, 8) represent the function.
Please note that it does not matter if y-values are repeated. Just remember, we can not have repeated x-values.D) (-1, 4), (0, -1), (8, 3)
Here, the x-coordinates are: -1, 0, and 8
At x = -1, y = 4
At x = 0, y = -1
At x = 8, y = 3
As there is no repetition of x-coordinates.Thus, the coordinate pairs (-1, 4), (0, -1), (8, 3) represent the function.
E) (1, 8), (8, 1), (1, 3)
Here, the x-coordinates are: 1, 8, and 1
At x = 1, y = 8
At x = 8, y = 1
At x = 1, y = 3
Please observe that the x-coordinate values i.e. x=1 are repeated.
Thus, the coordinate pairs (1, 8), (8, 1), (1, 3) does not represent the function.
F) (9, 0), (9, 1), (9, 2), (9, 3)
Here, the x-coordinates are: 9, 9,9 and 9
At x = 9, y = 0
At x = 9, y = 1
At x = 9, y = 2
At x = 9, y = 3
Please observe that the x-coordinate values i.e. x=9are repeated.
Thus, the coordinate pairs (9, 0), (9, 1), (9, 2), (9, 3) does not represent the function.
9c + 1 = 10 what is the answer the algebra way?
Answer:
c=1
Step-by-step explanation:
subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1
Answer:
c = 1
Step-by-step explanation:
The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.
Hope this helps! :)
Arrange the integers 1,4,8,12,17,32 so that all consecutive integers add to a perfect square. Enter your answer with numbers separated by commas.
One possible answer is: 1, 8, 17, 32, 4, 12
I don't know if there's a methodical way to get this answer. I used trial and error. I started with 1 and looked through the list to see what adds to 1 to get a perfect square. That would be 8 since 1+8 = 9 = 3^2
The process is repeated but this time for 8. After a bit of guess and checking, we see that 8+17 = 25 = 5^2.
Then after 17 is 32 because 17+32 = 49 = 7^2.
Keep doing this until all of the values are used up. If you get stuck, then try backtracking to a previous branch/path where everything worked and try another fork in the road. If that doesn't work, then try starting the sequence with a completely different value (instead of 1).
Other answers may be possible. I haven't checked all possible permutations.
A local restaurant only sells burgers and cokes. 3 burgers and 5 comes cost $17, while 6 burgers and 9 cokes cost $33. What’s the price of a burger?
Answer:
The price of a burger is $4 and that of cone is $1.
Step-by-step explanation:
Let the cost of burger is x and that of cone is y.
ATQ,
3x+5y = 17 ....(1)
And
6x + 9y = 33 ...(2)
Multiply equation (1) by 2.
6x + 10 y = 34 ...(3)
Subtract equation (2) from (3)
6x + 10 y-(6x + 9y) = 34 - 33
6x + 10 y-6x- 9y = 1
y = 1
Put the value of y in equation (1)
3x+5 = 17
3x = 12
x = 4
So, the price of a burger is $4 and that of the cone is $1.